2266617569841 has 25 divisors (see below), whose sum is σ = 3394233748301. Its totient is φ = 1507383811728.

The previous prime is 2266617569813. The next prime is 2266617569851. The reversal of 2266617569841 is 1489657166622.

The square root of 2266617569841 is 1505529.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1553335976241 + 713281593600 = 1246329^2 + 844560^2 .

It is not a de Polignac number, because 2266617569841 - 2⁹ = 2266617569329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2266617569851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 5541852045 + ... + 5541852453.

Almost surely, 2^{2266617569841} is an apocalyptic number.

2266617569841 is the 1505529-th square number.

2266617569841 is the 752765-th centered octagonal number.

It is an amenable number.

2266617569841 is a deficient number, since it is larger than the sum of its proper divisors (1127616178460).

2266617569841 is an frugal number, since it uses more digits than its factorization.

2266617569841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 412 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 2266617569841 in words is "two trillion, two hundred sixty-six billion, six hundred seventeen million, five hundred sixty-nine thousand, eight hundred forty-one".